130002561 has 48 divisors (see below), whose sum is σ = 212040192. Its totient is φ = 76204800.

The previous prime is 130002493. The next prime is 130002569. The reversal of 130002561 is 165200031.

It is not a de Polignac number, because 130002561 - 2¹⁴ = 129986177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130002569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264526 + ... + 265016.

It is an arithmetic number, because the mean of its divisors is an integer number (4417504).

Almost surely, 2^130002561 is an apocalyptic number.

It is an amenable number.

130002561 is a deficient number, since it is larger than the sum of its proper divisors (82037631).

130002561 is a wasteful number, since it uses less digits than its factorization.

130002561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130002561 is about 11401.8665577176. The cubic root of 130002561 is about 506.5830284283.

Adding to 130002561 its reverse (165200031), we get a palindrome (295202592).

The spelling of 130002561 in words is "one hundred thirty million, two thousand, five hundred sixty-one".